Redox magnetohydrodynamics (RMHD) microfluidics is coupled with dark-field microscopy (DFM) to offer high-throughput single-nanoparticle (NP) differentiation in situ and operando in a flowing mixture by localized surface plasmon resonance (LSPR) and tracking of NPs. The color of the scattered light allows visualization of the NPs below the diffraction limit. Their Brownian motion in 1-D superimposed on and perpendicular to the RMHD trajectory yields their diffusion coefficients. LSPR and diffusion coefficients provide two orthogonal modalities for characterization where each depends on a particle's material composition, shape, size, and interactions with the surrounding medium. RMHD coupled with DFM was demonstrated on a mixture of 82 ± 9 nm silver and 140 ± 10 nm gold-coated silica nanospheres. The two populations of NPs in the mixture were identified by blue/green and orange/red LSPR and their scattering intensity, respectively, and their sizes were further evaluated based on their diffusion coefficients. RMHD microfluidics facilitates high-throughput analysis by moving the sample solution across the wide field of view absent of physical vibrations within the experimental cell. The well-controlled pumping allows for a continuous, reversible, and uniform flow for precise and simultaneous NP tracking of the Brownian motion. Additionally, the amounts of nanomaterials required for the analysis are minimized due to the elimination of an inlet and outlet. Several hundred individual NPs were differentiated from each other in the mixture flowing in forward and reverse directions. The ability to immediately reverse the flow direction also facilitates re-analysis of the NPs, enabling more precise sizing.
Redox magnetohydrodynamics (RMHD) microfluidics is coupled with dark-field microscopy (DFM) to offer high-throughput single-nanoparticle (NP) differentiation in situ and operando in a flowing mixture by localized surface plasmon resonance (LSPR) and tracking of NPs. The color of the scattered light allows visualization of the NPs below the diffraction limit. Their Brownian motion in 1-D superimposed on and perpendicular to the RMHD trajectory yields their diffusion coefficients. LSPR and diffusion coefficients provide two orthogonal modalities for characterization where each depends on a particle's material composition, shape, size, and interactions with the surrounding medium. RMHD coupled with DFM was demonstrated on a mixture of 82 ± 9 nm silver and 140 ± 10 nm gold-coated silica nanospheres. The two populations of NPs in the mixture were identified by blue/green and orange/red LSPR and their scattering intensity, respectively, and their sizes were further evaluated based on their diffusion coefficients. RMHD microfluidics facilitates high-throughput analysis by moving the sample solution across the wide field of view absent of physical vibrations within the experimental cell. The well-controlled pumping allows for a continuous, reversible, and uniform flow for precise and simultaneous NP tracking of the Brownian motion. Additionally, the amounts of nanomaterials required for the analysis are minimized due to the elimination of an inlet and outlet. Several hundred individual NPs were differentiated from each other in the mixture flowing in forward and reverse directions. The ability to immediately reverse the flow direction also facilitates re-analysis of the NPs, enabling more precise sizing.
The
rising interest in commercial and industrial use of nanoparticles
(NPs) and nanomaterials has greatly outpaced the fundamental understanding
of their properties. Applications for nanomaterials range from catalysts
for alternative energy technologies and processes (e.g., fuel cells, photochemical energy conversion, and reactions involving
hydrocarbons[1−5]) to antimicrobials in medical devices.[6,7] Their physical
properties differ from their bulk phase counterparts, for example,
due to the higher surface energy of the NPs.[2,8−10] The characteristics are not only affected by variation
in composition but also strongly dependent on the particle size and
shape.[9,11−13] There exists a knowledge
gap with respect to the properties and chemical reactivities of nanomaterials.[14−16] Methods to evaluate NPs in a solution are limited, and because NPs
are heterogeneously sized and shaped, statistically relevant populations
must be investigated. This is especially challenging for dilute samples
where larger volumes need to be evaluated to attain statistical relevance.
Yet, it is also essential to be able to study the individualized behavior
of each NP within that population to determine how it contributes
toward the collective behavior. The increasing use of different nanomaterials
containing unknown environmental risks[17−20] in everyday products and industrial
applications is creating an urgent demand for analyzing NPs in mixtures
in a reliable, easy, and rapid manner. Thus, having tools that allow
for high-throughput single-entity evaluation in solution environments
is paramount. Here, microfluidics driven by redox magnetohydrodynamics
(RMHD), which provides highly controlled sample delivery across a
wide viewing window, is coupled with dark-field microscopy (DFM) for
tracking, analyzing, and identifying NPs to address this need. RMHD
also minimizes the NP waste, and therefore cost, because the inlets,
outlets, and reservoirs of fluid are not required. Hence, NP solutions
of a few microliters can be analyzed.There are various increasingly
common methods used for characterizing
the NP size and shape distribution. Transmission electron microscopy
(TEM) and scanning electron microscopy (SEM) can achieve high spatial
resolution and imaging of the morphological features of individual
NPs, respectively, but are generally performed in vacuo. Recently, TEM has been interfaced with a liquid cell, but applications
are limited to liquids with low vapor pressure and still require the
complexity and maintenance of operating a vacuum system.[21] Dynamic light scattering (DLS) is performed in situ and allows real-time monitoring of changes to hydrodynamic
radius occurring in suspension but for an average of the population.
The presence of just a few larger particles can drastically skew the
calculated size[22] because intensity scaling
depends on the volume of the particles squared, leading to an inaccurate
quantification of the distribution. Scattered light can be used to
visualize and follow individual NPs in suspension with NP tracking
analysis (NTA). This technique differentiates between particles from
differences in their Brownian motion (and therefore diffusion coefficients).
NTA can be coupled with fluid flow from a syringe pump to increase
the throughput. Single-laser NTA, such as DLS, however, suffers from
inaccurate determination of size distributions in polydisperse samples
because only the intensity of scattered light, which is a strong function
of size, is tracked.[23] NTA using multiple
lasers of different wavelengths resolves this problem, but a flowing
sample is not an option, and this technique comes with a high price
tag.[24,25] DFM, however, which is used here, has the
advantage that it can monitor and differentiate individual NPs in situ and operando in a relatively inexpensive
way and can be coupled with a flowing sample and other analytical
techniques. This allows physical and chemical information to be obtained
from the NPs.[26−29] The ability of DFM to image NPs exhibiting localized surface plasmon
resonance (LSPR) is especially notable because LSPR scatters specific
wavelengths more strongly and results in a higher sensitivity to a
particle’s properties than the case for laser-based techniques.[30,31] Scattered light is observed through an objective lens, which allows
visualization of NPs below the diffraction limit when illuminated
by a white light source. This is not achievable with other conventional
forms of microscopy (e.g., bright field and fluorescence)
where distinguishing between the absorbed light and the re-emitted
light of the same wavelength in the same radiation path is impossible.
Furthermore, the spectral signature of the scattered radiation, which
is indicative of size, shape, and composition, from each NP can be
measured.LSPR, first described by Faraday in 1857,[32] is based on the interaction of light with nanostructures
and determines
the color of plasmonic NP suspensions. Because only non-transmitted
light is detected in DFM, it is useful for observing individual NPs
that exhibit strong LSPRs such as silver, gold, and copper,[33−36] as well as for monitoring their chemical reactions and events at
their surfaces.[37−41] DFM combined with NP tracking analysis has been previously used
to determine their diffusion coefficients by tracing the random paths
of NPs in a static suspension.[33] In addition
to providing diffusion coefficients, single-particle tracking facilitates
detailed observation of how a NP interacts with its surrounding environment.
Methods have been developed with this approach to monitor the behavior
of particles in suspension[42−44] and the uptake of particles into
bacteria.[45]A flowing sample of NPs
is of interest for analyzing more particles
than in a static solution. However, to observe diffusion of NPs, uncontrolled
sources of fluid movement and vibrations must be either prevented
or managed. In classical mechanical pumping, which is commonly used
for NP tracking methods, the pressure gradient results in a parabolic
flow profile with an intermittent pulsatile behavior and vibrations.[46] This can complicate deconvolution of the superimposed
Brownian motion. Larger volumes of NP samples are also needed than
the actual volume analyzed because of the extra volume required for
the reservoir and tubing. Additionally, diffusion coefficient analysis
is limited to a single examination of a given suspension volume because
reversible pumping and tracking are not manageable. Electro-osmotic
pumping generally results in a flat flow profile[47] but depends on the physicochemical properties of the walls
of a very narrow channel (10–100 μm in width and height)
that guides the fluid. Additionally, charged NPs will migrate in the
applied electric field. To overcome these constraints, we have coupled
RMHD with DFM (RMHD–DFM) to provide a method of highly controlled
fluid movement, facilitating differentiation of NPs by both LSPR and
diffusion coefficient in a flowing suspension. RMHD–DFM provides
the ability to observe particles over a wide field with a reversible
and uniform flow profile in a given horizontal plane[48] and without high electric fields. The total sample volume
can also be limited to that of the analysis chamber.RMHD microfluidics
is propelled by the magnetic portion of the
Lorentz force, the magnetohydrodynamic force FB, following the right-hand rule (eq )[48−52]where j is
the ionic current
density and B is the magnetic flux density. This relationship
gives RMHD its unique ability to program microfluidics—to stop,
start, reverse, and tune flow without requiring valves or retooling
a device. A sample solution is added to a chip patterned with individually
addressable electrodes and placed adjacent to a permanent magnet.
When an electronic current is passed between electrodes which have
been modified with the conducting polymer poly(3,4-ethylenedioxythiophene)
(PEDOT), the polymer oxidizes at the anode, attracting anions from
the electrolyte solution to compensate charge (and repels cations)
and the opposite process occurs at the cathode, thus creating the
ionic current.[48,53] The uniform horizontal flow profile
of RMHD has enabled imaging of leukocytes of 10s μm in a flowing
sample with fluorescence epitaxial light sheet confocal microscopy.[50] RMHD has also been combined with fluorescence
correlation spectroscopy[54] to attain flow
profiles and diffusion coefficients of particles down to 0.1 μm
but without direct imaging capabilities.Here, PEDOT-modified
RMHD microfluidics is used for samples with
the smallest particles pumped by this approach to date and provides
the precise control needed to enable flow DFM for NP analysis. Flow
DFM is used to identify, quantify, and size a flowing suspension mixture
of two types of NPs, silver and silica core gold shell (Ag and SiO2@Au), in a volume beyond the confines of the microscope’s
viewing window. Silver[41,55] and silica core gold shell[56,57] were chosen because they are widely studied materials and are frequently
used NPs for investigation with DFM and thus serve as excellent model
systems for coupled RMHD–DFM.[31] The
NP types are detected and differentiated from each other based on
the scattered light with blue/green and orange/red wavelengths from
their LSPR, respectively, which also allows visualization of the small
nanoscopic entities.[33] Detecting the intensity
and wavelength of scattered light gives insight into the size, shape,
composition, and chemical environment within one sample and additionally
allows determination of diffusion coefficients by tracking those NPs
in the moving suspension. Furthermore, the pumping direction is reversed
to provide multiple observations of the same subvolumes of the sample.
This allows more precise information about the size distribution to
be obtained compared to a unidirectional pumping system. Additionally,
the ability to reverse pumping increases the probability of observing
NPs previously outside of the plane of view, permitting the analysis
of samples with low NP concentrations.
Experimental Section
Details about the chemicals
and materials and their sources are
provided in the Supporting Information.
Preparation of PEDOT-Modified Chip Electrodes
Gold
band electrodes with a chromium adhesion layer (nominally,
650 μm wide, 1.5 cm long, and 0.25 μm thick) were patterned
onto a borosilicate glass wafer via conventional
photolithography similar to that previously described for silicon
wafers.[58] The patterned wafer was then
diced into 2.54 cm × 5.08 cm (1 in × 2 in) chips. The separation
of the inner pair of electrodes, which were activated for RMHD pumping,
measures 0.47 cm. The outermost band electrodes and other smaller
electrodes on the chip were not used in the studies reported here.A film of PEDOT was sequentially electropolymerized onto each band
electrode based on a previously described procedure[53] (modifications to the referenced procedure are in the Supporting Information) and used as a working
electrode (WE). Cyclic voltammetry (CV) was performed with a PalmSens4
galvanostat/potentiostat (Palmsens, Houten, the Netherlands), a platinum
counter electrode (CE), and a Ag/AgCl, 3 M KCl reference electrode
(RE). The chip was then rinsed with propylene carbonate and water
and stored in water until use. A photo of the chip with PEDOT-deposited
electrodes (Figure S1) and additional details
of electropolymerization can be found in the Supporting Information.
RMHD Flow DFM Experimental
Setup
Optical tracking of the NPs with RMHD–DFM was
achieved by
the assembly depicted in Figure a. DFM was performed using an Olympus BX43 Microscope,
equipped with a 10× Plan Achromat Objective, a CytoVita Optical
Illuminator, which includes a halogen lamp and a liquid light guide,
and a Retiga R1 OEM CCD camera operated at 9.9 fps. Non-scattered
light is blocked by apertures, while light specifically scattered
by the sample reaches the objective. Hence, only light which interacts
with the sample is focused and detected, and all else appears black,
specifically, allowing the detection of nanosized plasmon-active structures
by their LSPR.
Figure 1
RMHD–DFM setup. (a) Electrochemical cell/magnet
assembly
used for RMHD–DFM is located between the illuminating system
and the microscope objective. The coordinate system assignments and
the directions are also shown for the applied j, B from the magnet, and FB, which directs
fluid flow between the activated electrodes. (b) Top-down view of
the electrochemical portion of the RMHD assembly showing the innermost
band electrodes that are activated. The region inside the poly(dimethylsiloxane)
gasket contains the NP suspension. The DFM viewing field of the microscope
is indicated by the dashed circle.
RMHD–DFM setup. (a) Electrochemical cell/magnet
assembly
used for RMHD–DFM is located between the illuminating system
and the microscope objective. The coordinate system assignments and
the directions are also shown for the applied j, B from the magnet, and FB, which directs
fluid flow between the activated electrodes. (b) Top-down view of
the electrochemical portion of the RMHD assembly showing the innermost
band electrodes that are activated. The region inside the poly(dimethylsiloxane)
gasket contains the NP suspension. The DFM viewing field of the microscope
is indicated by the dashed circle.The RMHD apparatus, shown in Figure b, containing the suspension of NPs was placed in a
3D-printed polylactic acid holder onto the movable stage of the DFM
microscope. This apparatus consisted of a special transparent electrochemical
cell coupled with the NdFeB permanent ring magnet, B,
and connected to the galvanostat/potentiostat to allow activation
of the pumping electrodes by producing an ionic current, j, thereby engaging RMHD microfluidics. A 700 μm-thick poly(dimethylsiloxane)
film, into which a rectangular opening large enough to accommodate
all the four large band electrodes was cut, was first placed on the
chip, then 400 μL of NP suspension was pipetted into it, and
topped with a coverslip. Excess NP suspension was carefully blotted
with a Kimwipe. Connections to the potentiostat/galvanostat were made
through silver wires that were adhered to the chip’s contact
pads with conductive copper tape. No external reservoir was used,
and only the pipetted NP suspension was pumped within the cell.The ring magnet with an outer diameter of 24.8 mm and a thickness
of 2.5 mm, containing a 5 mm diameter hole (Figure S2 of the Supporting Information), was placed atop the
coverslip. The hole in the center of the magnet is necessary for the
transmission of light. The outer dimensions of the magnet were chosen
to be as large as possible to maximize the magnetic flux, but when
combined with the electrochemical chamber, they would be small enough
for the assembly to fit on the stage between the objective lens and
the light source. The magnetic flux measured 270 mT where the center
of the hole contacted the coverslip.
Operation
and Characterization for RMHD–DFM
Three different
NP suspensions in 50 mM KNO3 were evaluated
by DFM. One contained 137 nm SiO2@AuNP, another contained
70 nm AgNP, and the other was prepared as a mixture of 70 nm AgNP
and 137 nm SiO2@AuNP (These diameters are those reported
by the manufacturer). The separate suspensions of AgNPs and SiO2@AuNPs were used to confirm the color associated with the
type of the particle and to confirm that the NPs would not agglomerate
significantly in the 50 mM KNO3 electrolyte during the
studies. An image of the SiO2@AuNPs under dark-field illumination
is depicted in Figure S3 of the Supporting Information. All suspensions were sonicated with an Emmi-12 HC from EMAG AG
for ca. 7 s at 100% intensity before use.For
RMHD pumping studies, one PEDOT-modified gold electrode was used as
the WE, and another was used as a combined CE/RE. Due to small current
and small distances between WE and CE/RE and a resulting negligible
Ohmic drop, a two-electrode setup can be used (Figure b). Chronopotentiometry (CP) was performed
with three sequential 15 s current steps, without breaks, starting
at +50 μA (forward 1), switching to −50 μA (reverse),
and then repeating +50 μA (forward 2). This sequence
was carried out both in the presence and in the absence of the magnet,
which can be seen in Videos S1 and S2 in the Supporting Information, respectively.
The latter served as a control experiment to determine the underlying
motion that is independent of RMHD microfluidics.
Characterization of NPs by Electron Microscopy
and Dynamic Light Scattering
Scanning transmission electron
microscopy (STEM) images of NPs were recorded on a JEOL JEM-2800 electron
microscope equipped with a Schottky electron gun working at 200 kV.
The point-to-point resolution is 0.14 nm. Elemental mapping by energy-dispersive
X-ray (EDX) spectroscopy was obtained with JEOL double-SDD X-ray detectors,
with a 133 eV spectral resolution, a solid angle of 0.98 sr, and a
detection area of 100 mm2. Each sample was prepared by
drop-coating the NP suspensions on a PLANO S-160 TEM grid (carbon
film on 200 mesh copper grid). DLS was performed with a Zetasizer
Ultra (Malvern Panalytical GmbH). The NP suspensions were measured
with a HeNe Laser of 633 nm.
Color Processing of LSPR
Images to Identify
the NP Type
To determine the color assignments, a pure suspension
of SiO2@AuNPs in 50 mM KNO3 was analyzed using
ImageJ.[59]Figure S3 depicts the range of their red/orange LSPR colors. Using the color
threshold tool in ImageJ, the red/orange group, hues 0–55,
was assigned to SiO2@AuNPs and the blue/green group, hues
56–255, was assigned to AgNPs. The video for the mixed NP suspension
was then converted to individual frames, imported as an image sequence,
and filtered to produce two sets of images by adjusting the color
threshold. Black was chosen to replace all “filtered”
colors. After color separation, the MosaicSuite plugin[60] for ImageJ was used to track the particles and
provide the (x, y) coordinates of
each particle track.
Results
RMHD–DFM
of AgNPs and SiO2@AuNPs and Comparison to TEM Results
The STEM images and
EDX mappings of the AgNPs and SiO2@AuNPs shown in Figure confirm the shape,
size, and composition of the NPs. The shapes are spherical, and the
averaged diameters were calculated by an arithmetic mean measure of
82 ± 9 nm and 140 ± 10 nm, respectively. The standard deviation
around the average measured diameter for the SiO2@AuNPs
brackets the manufacturer’s reported diameter of 137 nm. However,
the TEM-measured diameter for the AgNPs is larger than the manufacturer’s
70 nm specification. The color based on LSPR appears blue/green for
the AgNPs and red/orange for the SiO2@AuNPs. Figure is a snapshot taken by DFM
of the mixture in the RMHD apparatus. The count of particles belonging
to the two different populations based on the color differentiation
yields a measured ratio of AgNPs to SiO2@AuNPs in the suspension
of 58 ± 5 to 42 ± 6%, respectively.
Figure 2
STEM and EDX spectroscopy
images of 82 ± 9 nm AgNPs in (a,c)
and 140 ± 10 nm SiO2@AuNPs in (b,d).
Figure 3
DFM image of the mixed AgNP and SiO2@AuNP suspension
in 50 mM KNO3 with an exposure time of 100 ms and a magnification
of 10×. The image is taken from a video recorded during the application
of +50 μA current and in the absence of the magnet (non-pumped).
The NPs containing a “halo” were deemed to be too much
out-of-focus for tracking purposes, and only NPs without a “halo”
were tracked. The orange box indicates an enhanced zoom and shows
representative AgNPs and SiO2@AuNPs in blue and red, respectively.
STEM and EDX spectroscopy
images of 82 ± 9 nm AgNPs in (a,c)
and 140 ± 10 nm SiO2@AuNPs in (b,d).DFM image of the mixed AgNP and SiO2@AuNP suspension
in 50 mM KNO3 with an exposure time of 100 ms and a magnification
of 10×. The image is taken from a video recorded during the application
of +50 μA current and in the absence of the magnet (non-pumped).
The NPs containing a “halo” were deemed to be too much
out-of-focus for tracking purposes, and only NPs without a “halo”
were tracked. The orange box indicates an enhanced zoom and shows
representative AgNPs and SiO2@AuNPs in blue and red, respectively.
Effect of RMHD on NP Motion
The tracks
of the individual movements of the particles shown in Figure are given in Figure a for the case where a current
is applied in the absence of the magnet, showing only a non-directed
behavior. However, in the presence of the magnet, RMHD induces a net
displacement along the x-direction, as expected. Figure b displays the resulting
particle tracks involving both Brownian motion and the RMHD trajectory.
The contribution of diffusion is easily observable in the y-direction, perpendicular to the RMHD flow. The displacements
are small, however, compared to the RMHD travel distance. Note that
only the particles moving in the z-direction that
remained in focus long enough to provide a sufficient tracking length
in the x–y plane were considered
for particle analysis to ensure appropriate sizing.
Figure 4
NP tracks of the mixed
NP suspension in 50 mM KNO3 over
74 frames (7.4 s) during an applied current of +50 μA and in
the (a) absence and (b) presence of the magnet (flow direction to
positive x-positions).
NP tracks of the mixed
NP suspension in 50 mM KNO3 over
74 frames (7.4 s) during an applied current of +50 μA and in
the (a) absence and (b) presence of the magnet (flow direction to
positive x-positions).Video S1 of the Supporting Information is a recording of the mixture of NPs obtained by DFM in the presence
of the magnet from which Figure b was obtained. It shows the apparent random NP movement
when the pumping electrodes are off at the beginning of the video.
A net translation in the +x-direction is superimposed
on the random movement when a current of +50 μA is applied between
the electrodes (examples of particle displacements are depicted in
Figure S4 of the Supporting Information), a quick change of translation in the −x-direction occurs when the current is switched to −50 μA, and a reversal
of direction again in the +x-direction happens when
the current returns to +50 μA. The waveform of the applied current
over time, a representative plot of the recorded potential, and the
corresponding analysis are provided in Figure S5 in the Supporting Information. When the current returns
to zero after 45 s, translation in the x-direction
ends and random movement remains. RMHD creates a reversible vibration-free
“pump” within the cell volume by switching the polarity
of the electrodes to reverse the direction of the fluid movement,
so long as the magnet orientation remains unchanged.Video S2
of the Supporting Information is a recording
of an experimental sequence like that in Video S1, but in the absence of a magnetic field,
and from which Figure a was obtained. The NPs remain dominated by Brownian motion in the
presence of an applied current, regardless of its direction. A plot
comparing the displacements for multiple NPs for each part of this
experiment is shown in Figure S6 of the Supporting Information. A slight negative charge on the NPs might subject
them to electrophoresis toward the anode. However, there is no discernible
net translation toward the anode or the cathode, indicating that migration
for individual NPs in the electric field is insignificant. A more
detailed discussion of the direction and speed of NP motion with and
without RMHD pumping is provided in the Supporting Information.To observe the Brownian motion of NPs in
a moving suspension, the
fluid velocity must be slow enough for several random steps to be
visible while the NPs remain in the field of view. The average speed
of the RMHD flow under our conditions was measured to be 13.9 ±
1.5 μm s–1 for the blue/green NPs and 13.7
± 1.4 μm s–1 for the red/orange NPs.
The speed information for each forward and reverse excursion can be
found in Table S1 of the Supporting Information. The pumping speeds were determined by dividing the distance between
the first and last point of the particle tracks by the time between
those positions. The velocity within individual NP tracks varied significantly
due to the contribution from the particles’ random motion,
which is most noticeable by sideways deviations from a line connecting
the starting and ending positions. Because the Brownian motion along
the RMHD-driven translation is expected to be random (equal displacements
in forward and reverse directions), it should only affect the measurement
of the RMHD fluid speed in the form of the standard deviation around
the average.
Determination of NP Sizes
from Diffusion Coefficients
in the Absence of RMHD Flow
The diffusion coefficients, which
were used to calculated the size of the NPs assuming a spherical shape,
of the different populations of AgNPs and SiO2@AuNPs in
the mixture were determined first in the absence of RMHD flow, without
the magnet and with the current engaged, setting a baseline for obtaining
information and providing insight into whether migration is of significance.Mean-square displacement (MSD) plots, which have been previously
used for the sizing of individual particles,[33,39,61−67] were generated for each particle track. MSD plots were produced
from the movement of NPs having a minimum of 30 steps in their tracks.
The average MSD value in the y-direction for each
time step (τ) 1–5 over the entire track length was calculated
in cm2 s–1, and τ was converted
to seconds. From these plots, the diffusion coefficients D for each NP can be extracted from the slope of the least-squares
regression, and then the hydrodynamic radius can be estimated using
the Stokes–Einstein equation[68] (eq ), where kB is the Boltzmann constant, T is the
temperature, μ is the viscosity, and r is the
hydrodynamic radius of the particle.Any lines
with an R2 (coefficient of
determination) of <0.8 were not included in the calculation for
an average NP size.The NPs were additionally analyzed with
NanoTrackJ,[33] a method in which the diffusion
of particles
is tracked, and the results are depicted in Figure S7. The size distributions (Walker’s method[69]) were centered at 105 and 135 nm for the blue/green
and red/orange groups, respectively. Settings are listed in Table
S2 in the Supporting Information. The total
number of NPs tracked in the mixture was 733. The blue/green group
contained 384 particles and the red/orange group contained 389 particles,
indicating that the color analysis built into ImageJ was sufficient
for the microscope and camera settings required for pairing with the
magnet, though only a low-magnification objective was used.Using our one-dimensional (1-D) MSD method, 417 blue/green and
360 red/orange particles were tracked. The particle sizes calculated
from the position of the histogram peak maximum values were 86 ±
19 and 128 ± 32 nm for the blue/green and red/orange groups,
respectively. Our 1-D MSD method agrees with the TEM-determined average
size of 82 ± 9 nm for the AgNPs but slightly underestimates the
TEM-determined average size of 140 ± 10 nm for the SiO2@AuNPs. The similarity of the sizes determined by MSD under an applied
current and TEM provides further support that migration is not playing
a significant role in the mass transport of the NPs. Table S3 in the Supporting Information lists the NP sizes for
both populations. DLS determined sizes (by the peak maxima of the
obtained histograms) of 71 ± 1 nm for the AgNPs and 127 ±
1 nm for the SiO2@AuNPs from pure suspensions. (DLS cannot
provide such information from mixtures.)
Determination
of NP Sizes from Diffusion Coefficients
in the Presence of RMHD Flow
Analysis of the particle sizes
during RMHD flow was carried out using the same method as previously
described for the case without flow. Because the movement in the x-direction was assumed to be dominated by RMHD, only the y-dimension was used to create the plots of MSD versus time step (depicted in Figure S8 of the Supporting Information). This approach also has
the advantage that the large displacement in x arising
from the fluid flow more than offsets the low resolution and facilitates
the measurement by a more easily discernible localization of the Δy displacement due to the Brownian motion, leading to a
more precise measurement of the diffusion coefficients (Figure (b)). 1-D MSD curves were created
from displacement along the y-axis with the average
value for each τ = 1–5 over the entire
particle track (Figure S8). As in the case
without RMHD flow, the diffusion coefficients were
extracted from the slope, and the Stokes–Einstein equation
(eq ) was used to estimate
the NP sizes. For each color associated with the NPs, the three pumping
excursions (forward 1, reverse, and forward 2 segments of the video)
were analyzed separately. The diffusion coefficients obtained in the
pumped mixture (AgNPs and SiO2@AuNPs) are summarized in
a histogram in the Supporting Information in Figure S9. The size distributions, calculated from the diffusion
coefficients and assuming spherically shaped NPs, are shown in Figures and S10 (see the Supporting Information) for the AgNPs and the
SiO2@AuNPs, respectively. Particle diameters calculated
to be smaller than 0 nm and larger than 500 nm were filtered out from
the histograms. The data are summarized in Tables S3 and S4 in the Supporting Information, alongside the results
obtained in the absence of RMHD flow.
Figure 5
Size distributions of the NPs with LSPR
having hues 56–255
assigned to AgNPs in the mixture and calculated from the 1-D MSD of
the RMHD-pumped (forward 1, reverse, and forward 2) and of the non-pumped
(static) suspension.
Size distributions of the NPs with LSPR
having hues 56–255
assigned to AgNPs in the mixture and calculated from the 1-D MSD of
the RMHD-pumped (forward 1, reverse, and forward 2) and of the non-pumped
(static) suspension.As depicted in Figure , the blue/green
group shows a maximum of the histograms around
72.5 and 107.5 nm for the pumped suspension and 82.5 nm for the non-pumped
suspension with the magnet in place. Figure S10, indicating the size distribution of SiO2@Au, shows that
the red/orange groups were around 92.5 and 152.5 nm, respectively,
for the pumped suspensions and 137.5 nm for the non-pumped suspension.Figure summarizes
and compares the sizes of the two populations of NPs obtained by visualization
with LSPR and subsequent 1-D MSD analysis for both static and RMHD-pumped
mixtures (see Supporting Information Table
S3) to the sizes obtained by TEM and DLS on pure suspensions. The
results from 1-D MSDs for pumped and non-pumped suspensions show nearly
the same average sizes for the AgNPs. The results for the single populations
of AgNPs analyzed by TEM and DLS show comparable sizes, validating
the method of using 1-D MSD plots to size nanomaterials in a pumped
mixed suspension. For SiO2@AuNPs, however, static non-pumped
solutions show slightly higher average particle sizes compared to
the pumped NP suspension and the results by TEM and DLS. In general,
the herein presented method can distinguish NPs based on LSPR color
(in our case, two different populations of different compositions) in situ and, in particular, operando, with
subsequent analysis of diffusion coefficients, and thus size distributions,
in the presence and absence of fluid dynamics, leading to a greater
control of statistics and a possible implementation for microfluidic
devices.
Figure 6
Comparison of size determination from several methods. The mixed
suspension in 50 mM KNO3 was used for the non-pumped (static)
and RMHD-pumped method, and pure NP suspensions in the absence of
KNO3 were used for DLS and TEM. AgNPs are shown by teal
bars, and SiO2@AuNPs are shown by orange bars; the error
bars represent the ±1 standard deviation.
Comparison of size determination from several methods. The mixed
suspension in 50 mM KNO3 was used for the non-pumped (static)
and RMHD-pumped method, and pure NP suspensions in the absence of
KNO3 were used for DLS and TEM. AgNPs are shown by teal
bars, and SiO2@AuNPs are shown by orange bars; the error
bars represent the ±1 standard deviation.
Conclusion
We have presented a method for
combining DFM with self-contained
RMHD microfluidics to facilitate single-particle analysis in mixtures
of disperse NP populations, within the small sample volumes and without
the disadvantages posed by other pumping methods such as vibrations.
The adaptations made to previously reported RMHD configurations allow
precisely controlled fluid motion into and out of the DFM field of
view, leading to an increase in NP sampling capabilities and an assessment
of NP movement. It can be concluded that RMHD–DFM can be used
to efficiently characterize individuals and populations of NPs in situ and operando through two modalities,
LSPR and diffusion coefficients, each with different dependencies
on composition, shape, size, and interactions of the surrounding medium.
Additionally, we have successfully demonstrated a new approach that
determines diffusion coefficients of individual NPs in a mixture while
they are in motion by calculating their respective 1-D MSDs.We envision that RMHD–DFM can be applied to investigations
of a broad range of NP suspensions, both aqueous and nonaqueous, for
studies of dynamic interactions, catalysis, and synthesis. Here, we
demonstrate the usage of RMHD–DFM as an efficient tool to both
evaluate the NP sizes and simultaneously differentiate between mixtures
of different nanomaterials. In addition, the presence of a magnetic
field gradient can offer an extra factor of influence on the mass
transport,[70−72] separation,[73,74] and interactions of
(super)paramagnetic NPs.[75] In addition,
this method is well suited for probing samples with low NP concentrations.
Moreover, even non-plasmonic particles can be visualized, although
their scattering intensity is lower compared to plasmonic particles.
The possibility for RMHD–DFM to achieve operando insights into the dynamic processes of nanomaterials may provide
unique opportunities in process monitoring and control. In particular,
agglomeration dynamics of NPs as a function of time could easily be
detected as a change in color and diffusion coefficient with a change
of the size of the grouped NPs by the present RMHD–DFM approach.
Moreover, the prospects to simultaneously probe individual reactivity
of different NPs in suspensions during chemical or electrochemical
reactions and under constant flow may open new routes to study heterogeneous
catalysis and control NP synthesis, growth, and dissolution.
Authors: Pablo Hervés; Moisés Pérez-Lorenzo; Luis M Liz-Marzán; Joachim Dzubiella; Yan Lu; Matthias Ballauff Journal: Chem Soc Rev Date: 2012-05-30 Impact factor: 54.564
Authors: K Loza; J Diendorf; C Sengstock; L Ruiz-Gonzalez; J M Gonzalez-Calbet; M Vallet-Regi; M Köller; M Epple Journal: J Mater Chem B Date: 2014-02-13 Impact factor: 6.331